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Finding the Fourth Proportional to 3,172.50, 4,754.97 and 1,785.24

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Solution

The fourth proportional to 3,172.50, 4,754.97 and 1,785.24 is: 2,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.50 : 4,754.97 = 1,785.24 : x
  2. Step 2: Convert to fraction form
    3,172.50/4,754.97 = 1,785.24/x
  3. Step 3: Cross multiply
    3,172.50x = 4,754.97 × 1,785.24
  4. Step 4: Simplify right side
    3,172.50x = 8,488,762.64
  5. Step 5: Solve for x
    x = 8,488,762.64/3,172.50
  6. Step 6: Final answer
    x = 2,675.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.